Home / 2,828.16-3,902.88-1,649.28

Finding the Fourth Proportional to 2,828.16, 3,902.88 and 1,649.28

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Solution

The fourth proportional to 2,828.16, 3,902.88 and 1,649.28 is: 2,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.16 : 3,902.88 = 1,649.28 : x
  2. Step 2: Convert to fraction form
    2,828.16/3,902.88 = 1,649.28/x
  3. Step 3: Cross multiply
    2,828.16x = 3,902.88 × 1,649.28
  4. Step 4: Simplify right side
    2,828.16x = 6,436,941.93
  5. Step 5: Solve for x
    x = 6,436,941.93/2,828.16
  6. Step 6: Final answer
    x = 2,276.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.